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python/TangDou/LuoGuBook/P1075_2.cpp
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2025-08-30 18:35:01 +08:00

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#include <bits/stdc++.h>
using namespace std;
const int N = 44721 + 10; // 2e9=2000000000
//欧拉筛
int primes[N], cnt; // primes[]存储所有素数
bool st[N]; // st[x]存储x是否被筛掉
void get_primes(int n) {
for (int i = 2; i <= n; i++) {
if (!st[i]) primes[cnt++] = i;
for (int j = 0; primes[j] <= n / i; j++) {
st[primes[j] * i] = true;
if (i % primes[j] == 0) break;
}
}
}
int main() {
// cout << sqrt(2e9) << endl;
int n;
cin >> n;
get_primes(sqrt(n)); //计算n的所有小质数因子范围 1~sqrt(n)
//枚举每个质数因子,看看它是不是n的约数
for (int i = 0; i < cnt; i++) {
if (n % primes[i] == 0) {
cout << n / primes[i] << endl; //找出对应的大质数因子
break;
}
}
return 0;
}